Question

A carpenter made a wooden structure using one cube and one triangular prism. The diagram shows the structure. The carpenter is only going to paint the surface area of the front side of the wooden structure. To the nearest hundredth, what is the surface area that will be painted?

Answer 1

Answer:

Option B

$3.75\ in^2$

Step-by-step explanation:

we know that

The surface area of the front side is equal to the area of a square face of the cube plus the area of a right triangle of the triangular prism

so

$SA=(1.5)^2+\frac{1}{2}(3.5-1.5)(1.5)$

$SA=2.25+1.50=3.75\ in^2$